Due Jun 1, 2:59 AM EDT
What’s the expectation of random variable that accepts values from -3 to 3 with probabilities set by PMF:
| X | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|---|
| P | 1/14 | 1/7 | 1/7 | 2/7 | 2/7 | 0 | 1/14 |
Enter the irreducible fraction below (e.g., 13/28):
Find expectation of the product of values on two independently rolled fair dice. Enter the number with at least 2 digits after dot (e.g. 0.23):
A player rolls a fair dice and gets "$3 multiplied by the value on the dice" in the case of even outcome and loses "$4 multiplied by the value on the dice" in the case of odd outcome. What's his average payout? Enter the value below:
A player is offered to play against croupier who rolls 6 dice simultaneously. If there's a "street" (all 6 digits are yield on different dice), the croupier wins. Otherwise, the player wins. The player is offered to bet 60$ against croupier's 1$ (that is, the player loses $60 if the “street” combination occur and wins $1 otherwise). Will this game be profitable to the player in the long run?